Finite-size scaling analysis of the anisotropic critical behavior of the two-dimensional Ising model under shear

被引：12

作者：

Winter, D. ^{[1
]}

Virnau, P. ^{[1
]}

Horbach, J. ^{[2
]}

Binder, K. ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Phys, D-55099 Mainz, Germany

[2] Deutsch Zentrum Luft & Raumfahrt DLR, Inst Mat Phys Weltraum, D-51170 Cologne, Germany

来源：

EPL | 2010年 / 91卷 / 06期

关键词：

PHASE-TRANSITIONS; RENORMALIZATION-GROUP; FIELD-THEORY; SYSTEMS; FLUIDS; STATE;

D O I：

10.1209/0295-5075/91/60002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The critical behavior of the two-dimensional Ising Model with non-conserved order parameter in steady-state shear is studied by large-scale Monte Carlo simulations. Studying the structure factor S(q(x), q(y)) in the disordered phase, the ratio of correlation length exponents nu(x)/nu(y) in the two lattice directions (x, y) is estimated, and the critical temperature is determined as a function of the shear rate as gamma as T-c(gamma)-T-c (0) alpha gamma(phi) with phi approximate to 0.45. Critical exponents beta approximate to 0.37, gamma approximate to 1.1, ; nu(perpendicular to) approximate to 0.46, nu(vertical bar vertical bar) approximate to 1.38 are roughly compatible with anisotropic hyperscaling. Copyright (C) EPLA, 2010

引用

页数：6

共 50 条

[1] Anisotropy and universality in finite-size scaling: Critical Binder cumulant of a two-dimensional Ising model
Kastening, Boris
[J]. PHYSICAL REVIEW E, 2013, 87 (04):
[2] Universal anisotropic finite-size critical behavior of the two-dimensional Ising model on a strip and of d-dimensional models on films
Kastening, Boris
[J]. PHYSICAL REVIEW E, 2012, 86 (04):
[3] Tensor network based finite-size scaling for two-dimensional Ising model
Huang, Ching -Yu
Chan, Sing-Hong
Kao, Ying-Jer
Chen, Pochung
[J]. PHYSICAL REVIEW B, 2023, 107 (20)
[4] Scaling and finite-size scaling in the two-dimensional randomly coupled Ising ferromagnet
Kim, JK
[J]. PHYSICAL REVIEW B, 2000, 61 (02): : 1246 - 1250
[5] Anisotropic finite-size scaling analysis of a two-dimensional driven diffusive system
Wang, JS
[J]. JOURNAL OF STATISTICAL PHYSICS, 1996, 82 (5-6) : 1409 - 1427
[6] Finite-size scaling corrections in two-dimensional Ising and Potts ferromagnets
de Queiroz, SLA
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (04): : 721 - 729
[7] Finite-size scaling in a two-dimensional randomly coupled Ising ferromagnet
Kim, JK
[J]. JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 1999, 35 (04) : 355 - 361
[8] FINITE-SIZE SCALING AND THE TWO-DIMENSIONAL XY MODEL
LUCK, JM
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (04): : L169 - L176
[9] FINITE-SIZE EFFECTS ON THE CRITICAL STRUCTURE FACTOR OF THE TWO-DIMENSIONAL ISING-MODEL
BARTELT, NC
EINSTEIN, TL
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (08): : 1429 - 1438
[10] Finite-size analysis of a two-dimensional Ising model within a nonextensive approach
Crokidakis, N.
Soares-Pinto, D. O.
Reis, M. S.
Souza, A. M.
Sarthour, R. S.
Oliveira, I. S.
[J]. PHYSICAL REVIEW E, 2009, 80 (05):

← 1 2 3 4 5 →